The Arithmetic of Elliptic Curves. (Graduate texts in mathematics, vol.106) - Hardcover

Buch 23 von 180: Graduate Texts in Mathematics

Silverman, Joseph H.

 
9780387962030: The Arithmetic of Elliptic Curves. (Graduate texts in mathematics, vol.106)
Hardcover
ISBN 10: 0387962034 ISBN 13: 9780387962030
Verlag: Springer, 1994

Inhaltsangabe

The theory of elliptic curves is distinguished by its long history and by the diversity of the methods that have been used in its study. This book treats the arithmetic approach in its modern formulation, through the use of basic algebraic number theory and algebraic geometry. Following a brief discussion of the necessary algebro-geometric results, the book proceeds with an exposition of the geometry and the formal group of elliptic curves, elliptic curves over finite fields, the complex numbers, local fields, and global fields. Final chapters deal with integral and rational points, including Siegels theorem and explicit computations for the curve Y = X + DX, while three appendices conclude the whole: Elliptic Curves in Characteristics 2 and 3, Group Cohomology, and an overview of more advanced topics.

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Verlag
Springer
Erscheinungsdatum
1994
Sprache
Englisch
ISBN 10 
0387962034
ISBN 13 
9780387962030
Einband
Gebundene Ausgabe
Auflage
1
Anzahl der Seiten
402
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